全纯函数的RiemannHilbert边值问题 Riemann Hilbert Boundary Value Problem for Holomorphic Functions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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全纯函数的RiemannHilbert边值问题

引用本文：	王莉萍.全纯函数的RiemannHilbert边值问题[J].中国海洋大学学报(自然科学版),1999(4).

作者姓名：	王莉萍

作者单位：	青岛海洋大学数学系!青岛266003

摘要：	讨论了多圆柱区域上边界仅为Ｈｏｌｄｅｒ连续函数时的全纯函数的ＲｉｅｍａｎｎＨｉｌｂｅｒｔ边值问题。借助于多复变函数的理论，给出了上述边值问题可解的充要条件及较完整的解的表达式
关键词：	全纯函数 Riemann Hibert边值问题多圆柱区域
Riemann Hilbert Boundary Value Problem for Holomorphic Functions

Wang Liping.Riemann Hilbert Boundary Value Problem for Holomorphic Functions[J].Periodical of Ocean University of China,1999(4).

Authors:	Wang Liping

Abstract:	We discuss the Riemann Hilbert boundary value problem for holomorphic functions in a several cylinder domain when the boundary is only a Hlder continuous function. By using the theory of functions of several complex variables, we give the ne cessary and sufficient condition for its solvability and establish the expression of its solutions.

Keywords:	holomorphic function Riemann Hilbert boundary value problem several bicylinder domain
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